Xylia's and Vanessa's savings were in the ratio of 4 : 9. Both of them shared the cost of their auntie's gift equally. Xylia's remaining savings was
25 as much as Vanessa's savings. What percentage of her savings did Xylia spend? Correct the answer to 1 decimal place.
|
Xylia |
Vanessa |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 2 u |
- 2 u |
|
After |
2x5 = 10 u |
5x5 = 25 u |
3x5 = 15 u |
Since Xylia and Vanessa shared the cost of their auntie's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Xylia and Vanessa at first and in the end remains the same. Make the difference in the amounts between Xylia and Vanessa at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Xylia spent on the gift
= 12 u - 10 u
= 2 u
Percentage of her savings that Xylia spent
=
212 x 100%
≈ 16.7%
Answer(s): 16.7%